PreprintCC BY 4.0arXiv
Isometries between C*-algebras with finite corank
Abstract
We give a characterization of linear isometries with finite corank between two arbitrary unital C*-algebras in terms of Jordan *-homomorphisms and ``finite-dimensional remainders''. Also, the corresponding results are given for linear isometries and linear order embeddings between self-adjoint parts of C*-algebras. In the finite-dimensional case, we give new examples of linear isometries between matrix algebras.
Related
BibTeX
@misc{mori2026isometries,
title = {{Isometries between C$^*$-algebras with finite corank}},
author = {Michiya Mori},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.13367},
eprint = {2607.13367},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.13367},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Isometries between C^*-algebras with finite corank
AU - Michiya Mori
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2607.13367
UR - https://arxiv.org/abs/2607.13367
AB - We give a characterization of linear isometries with finite corank between two arbitrary unital C^*-algebras in terms of Jordan ^*-homomorphisms and ``finite-dimensional remainders''. Also, the corresponding results are given for linear isometries and linear order embeddings between self-adjoint parts of C^*-algebras. In the finite-dimensional case, we give new examples of linear isometries between matrix algebras.
ER -